120804480 has 128 divisors (see below), whose sum is σ = 427910400. Its totient is φ = 32209920.

The previous prime is 120804469. The next prime is 120804503. The reversal of 120804480 is 84408021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13785 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (3343050).

Almost surely, 2^120804480 is an apocalyptic number.

120804480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213955200).

120804480 is an abundant number, since it is smaller than the sum of its proper divisors (307105920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120804480 is an equidigital number, since it uses as much as digits as its factorization.

120804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120804480 is about 10991.1091342048. The cubic root of 120804480 is about 494.3421932602.

The spelling of 120804480 in words is "one hundred twenty million, eight hundred four thousand, four hundred eighty".